Atkin-Lehner |
5+ 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82775a |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-55448613671171875 = -1 · 57 · 7 · 119 · 43 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ 11+ 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6452633,-6306758582] |
[a1,a2,a3,a4,a6] |
Generators |
[4846451802882014031909092:-1332261723155735965242881503:64060547083457142581] |
Generators of the group modulo torsion |
j |
-1901580205855483887616/3548711274955 |
j-invariant |
L |
7.5108638537674 |
L(r)(E,1)/r! |
Ω |
0.047362570371339 |
Real period |
R |
39.645567137085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16555f3 |
Quadratic twists by: 5 |